A frictionless, electrically insulating ramp makes an angle of 0 = 37° above the horizontal. A small charged ball with mass m = 120g and charge q = -28 μC is fixed in place at the bottom of the ramp. An identical ball with the same mass and charge rests at equilibrium on the ramp, some height h above the ground. What is h? For the limit check, investi- gate what happens to h if the ramp becomes extremely steep (i.e., 90°). Initial Equations Initial Equation(s): Symbolic Answer: Units Check: Limits Check: Neatness: Total: Correct Answer: Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check 0 0.5 1 0 1 0 0.5 0 0.5 1 -2 -1 0 Y N Limit Check a) As 90°, what limit does h approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section: Chapter Questions
Problem 56PQ
Question

I mainly need help with limit check and unit check. I don't understand it like what is it asking and why?

A frictionless, electrically insulating ramp makes an angle of
0 = 37° above the horizontal. A small charged ball with mass
m = 120g and charge q = -28 μC is fixed in place at the
bottom of the ramp. An identical ball with the same mass
and charge rests at equilibrium on the ramp, some height h
above the ground. What is h? For the limit check, investi-
gate what happens to h if the ramp becomes extremely steep
(i.e., 90°).
Initial Equations
Initial Equation(s):
Symbolic Answer:
Units Check:
Limits Check:
Neatness:
Total:
Correct Answer:
Algebra Work (Symbols only. Don't plug in any numbers yet.)
Symbolic Answer:
Unit Check
0 0.5
1
0
1
0 0.5
0 0.5 1
-2 -1 0
Y N
Limit Check
a) As 90°, what limit does h approach?
b) Why does the result make physical sense?
Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
Transcribed Image Text:A frictionless, electrically insulating ramp makes an angle of 0 = 37° above the horizontal. A small charged ball with mass m = 120g and charge q = -28 μC is fixed in place at the bottom of the ramp. An identical ball with the same mass and charge rests at equilibrium on the ramp, some height h above the ground. What is h? For the limit check, investi- gate what happens to h if the ramp becomes extremely steep (i.e., 90°). Initial Equations Initial Equation(s): Symbolic Answer: Units Check: Limits Check: Neatness: Total: Correct Answer: Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check 0 0.5 1 0 1 0 0.5 0 0.5 1 -2 -1 0 Y N Limit Check a) As 90°, what limit does h approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
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